Quaternionic contact Einstein structures and the quaternionic contact Yamabe problem. Memoirs of the American Mathematical Society; 1086.

Ivanov, Stefan; Minchev, Ivan; Vassilev, Dimiter

ISBN 10: 0821898434 / ISBN 13: 9780821898437

Published by Providence, American Math. Soc, 2014

About this Item

Ex-library in GOOD condition with library-signature and stamp(s). Some traces of use. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. C-00001 9780821898437 Sprache: Englisch Gewicht in Gramm: 350.

Seller Inventory # 2482500

Bibliographic Details

• Title: Quaternionic contact Einstein structures and the quaternionic contact Yamabe problem. Memoirs of the American Mathematical Society; 1086.
• Publisher: Providence, American Math. Soc
• Publication Date: 2014
• Language: English
• ISBN 10: 0821898434
• ISBN 13: 9780821898437
• Binding: Softcover
• Weight: 350 grams
• Seller catalogs:
  • SA MATHEMATIK

About this title

Synopsis

A partial solution of the quaternionic contact Yamabe problem on the quaternionic sphere is given. It is shown that the torsion of the Biquard connection vanishes exactly when the trace-free part of the horizontal Ricci tensor of the Biquard connection is zero and this occurs precisely on 3-Sasakian manifolds. All conformal transformations sending the standard flat torsion-free quaternionic contact structure on the quaternionic Heisenberg group to a quaternionic contact structure with vanishing torsion of the Biquard connection are explicitly described. A ``3-Hamiltonian form'' of infinitesimal conformal automorphisms of quaternionic contact structures is presented.

About the Author

Stefan Ivanov, Univ. of Sofia and Institute of Mathematics, Bulargian Academy of Sciences, Bulgaria

Ivan Minchev, University of Sofia, Bulgaria

Dimiter Vassilev, University of New Mexico, Albuquerque, USA